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2 years ago

A spherical paintball measures 1.5 centimeters in diameter. Approximately how much paint is in it?

1 answer:

3 0

In this problem, you are asked to compute for the volume of the spherical paintball. The formula in computing the volume of the sphere is:

V = 4/3 (pi) r^2

Where r = the radius of the sphere

Since the given measurement is in diameter, you need to compute the radius of the sphere. The radius of the sphere is half its diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).

Substituting the radius to the formula and using 3.14 as the value of pi:

V = 4/3(3.14)(0.75)^2

V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic centimeter is equal to mL)

Therefore, there are approximately 2.36 mL of paint in the paintball.

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STALIN [3.7K]

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3 years ago

Put this into Slope Intercept Form<br> x + 6y = –6

mel-nik [20]

Answer:

$y=-\frac{x}{6} -1$

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x -x

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6y=-x-6

Now divide both sides by 6

$y=-\frac{x}{6} -\frac{6}{6}$
We can simplify the fractions to become:

$y=-\frac{x}{6} -1$
Hope this helps!

See more on converting from standard to slope-intercept form here: brainly.com/question/26579052

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1 year ago

Multiply: (3x – 5)(–x + 4)

LiRa [457]

Answer:

Step-by-step explanation:

(3x – 5)(–x + 4)

(3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4).

-3x^2+12x +5x -20

-3x^2+ 17x -20

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2 years ago

Read 2 more answers

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liberstina [14]

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Aiden is trying to save money and has $1800 to set aside in some type of savings account. He checked his bank one day, and found

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I = Prt

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Difference of interest on CD and Interest on savings = $76.5 - $49.5 = $27

Therefre, he will earn $27 more if he invest in a CD rather than in a savings.

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2 years ago